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Finding the Fourth Proportional to 338,410.04, 507,630.14 and 188,536.76

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Solution

The fourth proportional to 338,410.04, 507,630.14 and 188,536.76 is: 282,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,410.04 : 507,630.14 = 188,536.76 : x
  2. Step 2: Convert to fraction form
    338,410.04/507,630.14 = 188,536.76/x
  3. Step 3: Cross multiply
    338,410.04x = 507,630.14 × 188,536.76
  4. Step 4: Simplify right side
    338,410.04x = 95,706,941,873.95
  5. Step 5: Solve for x
    x = 95,706,941,873.95/338,410.04
  6. Step 6: Final answer
    x = 282,813.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.